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Finding the Third Proportional to 131,336 and 288,195

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Solution

The third proportional to 131,336 and 288,195 is: 632,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,336 : 288,195 = 288,195 : x
  2. Step 2: Convert to fraction form
    131,336/288,195 = 288,195/x
  3. Step 3: Cross multiply
    131,336x = 288,195 × 288,195
  4. Step 4: Simplify right side
    131,336x = 83,056,358,025
  5. Step 5: Solve for x
    x = 83,056,358,025/131,336
  6. Step 6: Final answer
    x = 632,395.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.